Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields

Rodrigo Bissacot, Eric Ossami Endo and Aernout C.D. van Enter

Stochastic Processes and their Applications, 2017, vol. 127, issue 12, 4126-4138

Abstract: We consider the ferromagnetic Ising model with spatially dependent external fields on a Cayley tree, and we investigate the conditions for the existence of the phase transition for a class of external fields, asymptotically approaching a homogeneous critical external field. Our results extend earlier results by Rozikov and Ganikhodjaev.

Keywords: Ising model; Cayley tree; Inhomogeneous external fields; Critical field; Phase transition stability (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:127:y:2017:i:12:p:4126-4138

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DOI: 10.1016/j.spa.2017.03.023

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